Number 2a and b pls

Using this modei. the horizontal position P of the swing relative to center of the swing structure is given by: P :2 A(w) - cos(wt) ' where t is time (in seconds). I.) is the frequency (in radians per second) at which the swing is pushed. and the direction the children are facing is the positive direction. Aiso. A is the amplitude (in meters) of the swing, as a function of w: 5 '1'?) = W In summary, at time t and with a pushing frequency of w. the horizontal distance of the swing from the centre line. is given by P = A(w)cos(wt). cm 1. Find 5' At pushing frequency w- - 1 is this derivative positive. negative. or zero. and what does this indicate physically? 2. Now Suppose I.) is constant. dP d2? . (3) Find and dt 2-. .What do these derivatives represent? P (b) Evaluate (21: and \"42 for t_ - T and w- 1. Use your answers to determine whether the swing is speeding up or slowing down ,-and' In which direction